Search a number
-
+
13022202032000 = 27537116269661
BaseRepresentation
bin1011110101111111011110…
…1110011110111110000000
31201002220120122112121112222
42331133313232132332000
53201323432210011000
643410152251110212
72512552206636560
oct275376756367600
951086518477488
1013022202032000
114170759616a77
121563959142368
13735cb0626565
143303c6956da0
15178b0d8c1a85
hexbd7f7b9ef80

13022202032000 has 128 divisors (see below), whose sum is σ = 37001657234880. Its totient is φ = 4464754944000.

The previous prime is 13022202031999. The next prime is 13022202032009. The reversal of 13022202032000 is 23020222031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 13022202032000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022202032009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58022831 + ... + 58246830.

Almost surely, 213022202032000 is an apocalyptic number.

13022202032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13022202032000 is an abundant number, since it is smaller than the sum of its proper divisors (23979455202880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13022202032000 is an equidigital number, since it uses as much as digits as its factorization.

13022202032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116269697 (or 116269675 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 13022202032000 its reverse (23020222031), we get a palindrome (13045222254031).

The spelling of 13022202032000 in words is "thirteen trillion, twenty-two billion, two hundred two million, thirty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1400 1600 1750 2000 2240 2800 3200 3500 4000 4480 5600 7000 8000 11200 14000 16000 22400 28000 56000 112000 116269661 232539322 465078644 581348305 813887627 930157288 1162696610 1627775254 1860314576 2325393220 2906741525 3255550508 3720629152 4069438135 4650786440 5813483050 6511101016 7441258304 8138876270 9301572880 11626966100 13022202032 14533707625 14882516608 16277752540 18603145760 20347190675 23253932200 26044404064 29067415250 32555505080 37206291520 40694381350 46507864400 52088808128 58134830500 65111010160 74412583040 81388762700 93015728800 101735953375 104177616256 116269661000 130222020320 162777525400 186031457600 203471906750 232539322000 260444040640 325555050800 372062915200 406943813500 465078644000 520888081280 651110101600 813887627000 930157288000 1302220203200 1627775254000 1860314576000 2604440406400 3255550508000 6511101016000 13022202032000